diff --git a/src/wp-admin/includes/ajax-actions.php b/src/wp-admin/includes/ajax-actions.php
index 90982d3302..5dcbd5ad67 100644
--- a/src/wp-admin/includes/ajax-actions.php
+++ b/src/wp-admin/includes/ajax-actions.php
@@ -2807,11 +2807,11 @@ function wp_ajax_destroy_sessions() {
 	 */
 	if ( is_string( $keep ) ) {
 		$sessions->destroy_others( $keep );
-		$message = __( 'You are now logged out everywhere else' );
+		$message = __( 'You are now logged out everywhere else.' );
 	} else {
 		$sessions->destroy_all();
 		/* translators: 1: User's display name. */ 
-		$message = sprintf( __( '%s has been logged out' ), $user->display_name );
+		$message = sprintf( __( '%s has been logged out.' ), $user->display_name );
 	}
 
 	wp_send_json_success( array(